Multiplication can be thought of as repeated addition. Three times four is 4 added to itself...

Multiplication can be thought of as repeated addition. Three times four is 4 added to itself 3 times.

1) Create an assembly program that multiplies two 8 bit integers (2's complement) together in your PIC, using the repeated summation technique.

2) Add a feature to your program that detects if the answer is too big to hold in 8 bit 2's complement notation

3) The repeated summation algorithm is slow. In a previous homework we developed a technique for multiplying that used bit shifting, that significantly reduces the number of loop iterations needed. Write a PIC assembly program to multiply two 8 bit integers (2's complement) together using this technique. [Hint: be careful of the carry bit.]

4) Develop a PIC routine to perform integer division of two positive 8 bit (2's complement) numbers, using a repeated subtraction algorithm. Report both the quotient and the remainder.

5) Develop a PIC routine to perform integer division of two positive 8 bit (2's complement) numbers, using long division (adapted for binary numbers). Report both the quotient and the remainder.

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Colby Messinger answered 2 years ago

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